664293312 has 140 divisors (see below), whose sum is σ = 1986645760. Its totient is φ = 219469824.

The previous prime is 664293293. The next prime is 664293317. The reversal of 664293312 is 213392466.

664293312 is a `hidden beast` number, since 6 + 642 + 9 + 3 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664293317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 657864 + ... + 658872.

Almost surely, 2^664293312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664293312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993322880).

664293312 is an abundant number, since it is smaller than the sum of its proper divisors (1322352448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

664293312 is a wasteful number, since it uses less digits than its factorization.

664293312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1141 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 664293312 is about 25773.8881816462. Note that the first 3 decimals coincide. The cubic root of 664293312 is about 872.5425739824.

The spelling of 664293312 in words is "six hundred sixty-four million, two hundred ninety-three thousand, three hundred twelve".